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100221001031 is a prime number
BaseRepresentation
bin101110101010110100…
…0110001110101000111
3100120200120111100200002
41131111220301311013
53120223034013111
6114012455511515
710145366311244
oct1352550616507
9316616440602
10100221001031
113955a162488
121750b98859b
1395b253a998
144bca54c5cb
15291884163b
hex1755a31d47

100221001031 has 2 divisors, whose sum is σ = 100221001032. Its totient is φ = 100221001030.

The previous prime is 100221001009. The next prime is 100221001033. The reversal of 100221001031 is 130100122001.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-100221001031 is a prime.

It is a super-2 number, since 2×1002210010312 (a number of 23 digits) contains 22 as substring.

Together with 100221001033, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100221001033) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50110500515 + 50110500516.

It is an arithmetic number, because the mean of its divisors is an integer number (50110500516).

Almost surely, 2100221001031 is an apocalyptic number.

100221001031 is a deficient number, since it is larger than the sum of its proper divisors (1).

100221001031 is an equidigital number, since it uses as much as digits as its factorization.

100221001031 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 100221001031 its reverse (130100122001), we get a palindrome (230321123032).

The spelling of 100221001031 in words is "one hundred billion, two hundred twenty-one million, one thousand, thirty-one".